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Finding the Third Proportional to 166,649 and 366,652

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Solution

The third proportional to 166,649 and 366,652 is: 806,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,649 : 366,652 = 366,652 : x
  2. Step 2: Convert to fraction form
    166,649/366,652 = 366,652/x
  3. Step 3: Cross multiply
    166,649x = 366,652 × 366,652
  4. Step 4: Simplify right side
    166,649x = 134,433,689,104
  5. Step 5: Solve for x
    x = 134,433,689,104/166,649
  6. Step 6: Final answer
    x = 806,687.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.